High Dimensional Topological Local Fields and Residues

Amnon Yekutieli (BGU)

Abstract: An n-dimensional topological local field (TLF) is a field K, endowed with a rank n valuation, and a compatible topology. TLFs arise as Beilinson completions of function fields of n-dimensional algebraic varieties along chains of points. The main feature discussed in the talk is the residue functional, which is a high dimensional generalization of the usual residue functional from the theory of complex analytic curves.

If time permits I will also talk about some applications of the residue functional in algebraic geometry.

Notes are available here

(Jan 2015)